1. What is a time constant? 2. What is a transient? 3. What is the time constant

Question

1. What is a time constant?

2. What is a transient?

3. What is the time constant ? for the circuit in Figure 7.1?

4. What is the transient time for the circuit in Figure 7.1?

5. What is the value of the current IL through the inductor at the beginning and the end of the charge cycle?

6. What is the voltage VL across the inductor and the resistor at the beginning and the end of the charge cycle?

7. How does the inductor act at the beginning and end of the charging process (short or open)?

8. What is VL and IL at 1?, 2?, 3?, 4?, and 5?? (Show this in a separate table.)

Explanation / Answer

In physics and engineering, the time constant, usually denoted by the Greek letter (tau), is the risetime characterizing the response to a time-varying input of a first-order, linear time-invariant (LTI) system.[1][note 1] The time constant is the main characteristic unit of a first-order LTI (linear time-invariant) system. In the time domain, the usual choice to explore the time response is through the step response to a step input, or the impulse response to a Dirac delta function input.[2] In the frequency domain (for example, looking at the Fourier transform of the step response, or using an input that is a simple sinusoidal function of time) the time constant also determines the bandwidth of a first-order time-invariant system, that is, the frequency at which the output signal power drops to half the value it has at low frequencies. a trasient is a current with no address time content=L/R=0.470 ms

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